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482272977312 = 25327239222707
BaseRepresentation
bin1110000010010011011…
…01011010000110100000
31201002211102200122200200
413001021231122012200
530400143340233222
61005315251345200
746562113445430
oct7011155320640
91632742618620
10482272977312
11176592582a25
12795742b2200
133662a646539
14194b0b742c0
15c8296ebeac
hex7049b5a1a0

482272977312 has 72 divisors (see below), whose sum is σ = 1567387182816. Its totient is φ = 137792278656.

The previous prime is 482272977311. The next prime is 482272977371. The reversal of 482272977312 is 213779272284.

482272977312 is a `hidden beast` number, since 482 + 2 + 7 + 2 + 97 + 73 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (482272977311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119609338 + ... + 119613369.

It is an arithmetic number, because the mean of its divisors is an integer number (21769266428).

Almost surely, 2482272977312 is an apocalyptic number.

482272977312 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

482272977312 is an abundant number, since it is smaller than the sum of its proper divisors (1085114205504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

482272977312 is a wasteful number, since it uses less digits than its factorization.

482272977312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239222730 (or 239222719 counting only the distinct ones).

The product of its digits is 4741632, while the sum is 54.

The spelling of 482272977312 in words is "four hundred eighty-two billion, two hundred seventy-two million, nine hundred seventy-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 239222707 478445414 717668121 956890828 1435336242 1674558949 1913781656 2153004363 2870672484 3349117898 3827563312 4306008726 5023676847 5741344968 6698235796 7655126624 8612017452 10047353694 11482689936 13396471592 15071030541 17224034904 20094707388 22965379872 26792943184 30142061082 34448069808 40189414776 53585886368 60284122164 68896139616 80378829552 120568244328 160757659104 241136488656 482272977312